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Abstract In this article, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical… Click to show full abstract
Abstract In this article, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical consequences. As an application of this correspondence, we give complete answers to geometric mating problems for critically fixed anti-rational maps.
Keywords:
rational maps;
fixed anti;
reflection groups;
kissing reflection;
critically fixed;
anti rational
Journal Title: Forum of Mathematics, Sigma
Year Published: 2022
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Journal Title: Forum of Mathematics, Sigma
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!